4646 ÷ 2 = 2323 R0
Alright, let's work through the division of 4646 by 2 step by step.

Step 1:
2 goes into 4 2 times with a remainder of 0.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 4 from 4 to get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 2

Step 2:
2 goes into 6 3 times with a remainder of 0.
Write down 3 as next digit of of the result. 
Result so far: 23
Subtract 6 from 6 to get 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 2

Step 3:
2 goes into 4 2 times with a remainder of 0.
Write down 2 as next digit of of the result. 
Result so far: 232
Subtract 4 from 4 to get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 2

Step 4:
2 goes into 6 3 times with a remainder of 0.
Write down 3 as next digit of of the result. 
Result so far: 2323
Subtract 6 from 6 to get 0.

The final result is 2323 with a remainder of 0.